Pronunciation - 'Haitch' or 'aitch'? How do you pronounce 'H'?

I was searching for the reason the 3rd person of say is pronounced differently when I came across this article from 2010.
http://www.bbc.co.uk/news/magazine-11642588
Here's a funny video about pronunciation and grammar.
http://www.youtube.com/watch?v=RJ0l_vPyUmg&feature=BFa&list=PLF6B19335B6E69659